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Dal'nevostochnyi Matematicheskii Zhurnal, 2016, Volume 16, Number 2, Pages 229–236 (Mi dvmg336)  
This article is cited in 1 scientific paper (total in 1 paper)

Unique solvability of the subdifferential boundary value problem for the complex heat transfer equations

A. Yu. Chebotarevab, G. V. Grenkinab, A. E. Kovtanyukab

a Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok
b Far Eastern Federal University, Vladivostok
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Abstract: A model of the process of radiation-conductive heat transfer with the multi-valued dependence of emissivity on the radiation intensity is considered. The unique solvability of the subdifferential boundary value problem for the complex heat transfer equations in a three-dimensional domain is proved.
Key words: radiation heat transfer, subdifferential boundary conditions, non-local unique solvability.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00037
Received: 09.11.2016
Bibliographic databases:
Document Type: Article
UDC: 517.95
MSC: Primary 35J61; Secondary 35Q79
Language: Russian
Citation: A. Yu. Chebotarev, G. V. Grenkin, A. E. Kovtanyuk, “Unique solvability of the subdifferential boundary value problem for the complex heat transfer equations”, Dal'nevost. Mat. Zh., 16:2 (2016), 229–236
Citation in format AMSBIB
\Bibitem{CheGreKov16}
\by A.~Yu.~Chebotarev, G.~V.~Grenkin, A.~E.~Kovtanyuk
\paper Unique solvability of the subdifferential boundary value problem for
the complex heat transfer equations
\jour Dal'nevost. Mat. Zh.
\yr 2016
\vol 16
\issue 2
\pages 229--236
\mathnet{http://mi.mathnet.ru/dvmg336}
\elib{https://elibrary.ru/item.asp?id=27701007}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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